利用牛顿谐波平衡法快速求解非线性代数方程组  

Solving Nonlinear Algebraic Equations Rapidly by Newton Harmonic Balance Method

作　　者：徐校会 孟红军[1] XU Xiaohui;MENG Hongjun(Department of Education,Chuzhou City Vocation College,Chuzhou 239000,China)

机构地区：[1]滁州城市职业学院教育系,安徽滁州239000

出　　处：《新乡学院学报》2021年第9期12-15,共4页Journal of Xinxiang University

基　　金：安徽省质量工程项目(2018jxjygg018,2020kfkc360)。

摘　　要：为了快速求解非线性代数方程组,避免出现局部最优解,提出了利用牛顿谐波平衡法求解非线性代数方程组的思路,设计了求解步骤,通过数值仿真进行了验证。结果表明:利用牛顿谐波平衡法求解非线性代数方程组能简化求解过程,得到比较精确的数值解。In order to solve the nonlinear algebraic equations quickly and avoid the local optimal solution, the Newton harmonic balance method is proposed to solve the nonlinear algebraic equations. The solving steps are designed and verified by numerical simulation. The results show that using Newton harmonic balance method to solve nonlinear algebraic equations can simplify the solving process and obtain more accurate numerical solutions.

关 键 词：牛顿谐波平衡法 非线性代数方程组 快速求解 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]